\pgfplotsset{colormap={lena palette}{
rgb=(0.286275,0.039216,0.211765)
rgb=(0.282353,0.043137,0.239216)
rgb=(0.301961,0.043137,0.200000)
rgb=(0.333333,0.039216,0.219608)
rgb=(0.356863,0.050980,0.282353)
rgb=(0.305882,0.066667,0.301961)
rgb=(0.345098,0.062745,0.250980)
rgb=(0.337255,0.070588,0.278431)
rgb=(0.368627,0.066667,0.227451)
rgb=(0.396078,0.062745,0.196078)
rgb=(0.380392,0.070588,0.211765)
rgb=(0.329412,0.082353,0.250980)
rgb=(0.364706,0.074510,0.247059)
rgb=(0.317647,0.090196,0.274510)
rgb=(0.349020,0.090196,0.235294)
rgb=(0.415686,0.086275,0.329412)
rgb=(0.462745,0.086275,0.227451)
rgb=(0.419608,0.098039,0.266667)
rgb=(0.443137,0.090196,0.278431)
rgb=(0.431373,0.098039,0.247059)
rgb=(0.435294,0.094118,0.309804)
rgb=(0.400000,0.105882,0.325490)
rgb=(0.384314,0.117647,0.294118)
rgb=(0.396078,0.121569,0.278431)
rgb=(0.439216,0.113725,0.231373)
rgb=(0.403922,0.121569,0.262745)
rgb=(0.376471,0.125490,0.321569)
rgb=(0.415686,0.121569,0.247059)
rgb=(0.376471,0.125490,0.364706)
rgb=(0.356863,0.149020,0.305882)
rgb=(0.541176,0.125490,0.239216)
rgb=(0.513725,0.137255,0.266667)
rgb=(0.403922,0.172549,0.298039)
rgb=(0.513725,0.149020,0.239216)
rgb=(0.474510,0.164706,0.294118)
rgb=(0.431373,0.184314,0.258824)
rgb=(0.443137,0.172549,0.345098)
rgb=(0.435294,0.172549,0.372549)
rgb=(0.490196,0.168627,0.270588)
rgb=(0.466667,0.176471,0.325490)
rgb=(0.423529,0.180392,0.419608)
rgb=(0.411765,0.200000,0.360784)
rgb=(0.592157,0.164706,0.219608)
rgb=(0.572549,0.172549,0.305882)
rgb=(0.615686,0.164706,0.270588)
rgb=(0.592157,0.180392,0.278431)
rgb=(0.607843,0.188235,0.258824)
rgb=(0.580392,0.196078,0.278431)
rgb=(0.619608,0.180392,0.329412)
rgb=(0.549020,0.211765,0.309804)
rgb=(0.560784,0.215686,0.282353)
rgb=(0.498039,0.227451,0.505882)
rgb=(0.529412,0.231373,0.411765)
rgb=(0.505882,0.235294,0.450980)
rgb=(0.470588,0.247059,0.439216)
rgb=(0.556863,0.235294,0.380392)
rgb=(0.643137,0.223529,0.266667)
rgb=(0.670588,0.219608,0.305882)
rgb=(0.494118,0.262745,0.415686)
rgb=(0.713725,0.215686,0.274510)
rgb=(0.650980,0.231373,0.317647)
rgb=(0.662745,0.239216,0.301961)
rgb=(0.635294,0.247059,0.321569)
rgb=(0.556863,0.270588,0.349020)
rgb=(0.529412,0.274510,0.392157)
rgb=(0.698039,0.235294,0.286275)
rgb=(0.490196,0.274510,0.521569)
rgb=(0.643137,0.254902,0.301961)
rgb=(0.615686,0.266667,0.325490)
rgb=(0.607843,0.266667,0.360784)
rgb=(0.713725,0.247059,0.266667)
rgb=(0.576471,0.282353,0.321569)
rgb=(0.721569,0.250980,0.247059)
rgb=(0.686275,0.262745,0.301961)
rgb=(0.694118,0.262745,0.286275)
rgb=(0.701961,0.266667,0.266667)
rgb=(0.705882,0.270588,0.247059)
rgb=(0.517647,0.301961,0.498039)
rgb=(0.647059,0.286275,0.290196)
rgb=(0.709804,0.278431,0.345098)
rgb=(0.752941,0.282353,0.325490)
rgb=(0.764706,0.274510,0.372549)
rgb=(0.694118,0.301961,0.341176)
rgb=(0.764706,0.286275,0.301961)
rgb=(0.772549,0.313725,0.023529)
rgb=(0.682353,0.305882,0.368627)
rgb=(0.737255,0.298039,0.329412)
rgb=(0.576471,0.329412,0.603922)
rgb=(0.745098,0.309804,0.301961)
rgb=(0.721569,0.317647,0.333333)
rgb=(0.674510,0.313725,0.537255)
rgb=(0.831373,0.290196,0.329412)
rgb=(0.627451,0.345098,0.415686)
rgb=(0.643137,0.345098,0.372549)
rgb=(0.694118,0.333333,0.431373)
rgb=(0.678431,0.337255,0.478431)
rgb=(0.807843,0.317647,0.309804)
rgb=(0.615686,0.360784,0.521569)
rgb=(0.576471,0.368627,0.564706)
rgb=(0.815686,0.329412,0.294118)
rgb=(0.639216,0.364706,0.478431)
rgb=(0.811765,0.329412,0.337255)
rgb=(0.807843,0.329412,0.364706)
rgb=(0.776471,0.337255,0.400000)
rgb=(0.788235,0.345098,0.364706)
rgb=(0.556863,0.388235,0.623529)
rgb=(0.796078,0.349020,0.317647)
rgb=(0.792157,0.352941,0.341176)
rgb=(0.749020,0.360784,0.396078)
rgb=(0.796078,0.388235,0.000000)
rgb=(0.768627,0.360784,0.368627)
rgb=(0.721569,0.376471,0.352941)
rgb=(0.607843,0.396078,0.494118)
rgb=(0.741176,0.364706,0.423529)
rgb=(0.576471,0.407843,0.537255)
rgb=(0.627451,0.411765,0.450980)
rgb=(0.568627,0.415686,0.588235)
rgb=(0.572549,0.427451,0.501961)
rgb=(0.682353,0.400000,0.462745)
rgb=(0.698039,0.403922,0.419608)
rgb=(0.866667,0.368627,0.345098)
rgb=(0.823529,0.380392,0.364706)
rgb=(0.658824,0.423529,0.427451)
rgb=(0.835294,0.380392,0.341176)
rgb=(0.862745,0.368627,0.388235)
rgb=(0.819608,0.384314,0.388235)
rgb=(0.862745,0.376471,0.435294)
rgb=(0.831373,0.400000,0.423529)
rgb=(0.823529,0.400000,0.450980)
rgb=(0.811765,0.411765,0.388235)
rgb=(0.803922,0.411765,0.419608)
rgb=(0.796078,0.411765,0.450980)
rgb=(0.870588,0.407843,0.329412)
rgb=(0.792157,0.435294,0.396078)
rgb=(0.870588,0.415686,0.368627)
rgb=(0.760784,0.439216,0.470588)
rgb=(0.772549,0.439216,0.443137)
rgb=(0.803922,0.439216,0.352941)
rgb=(0.784314,0.439216,0.423529)
rgb=(0.854902,0.407843,0.541176)
rgb=(0.866667,0.423529,0.411765)
rgb=(0.890196,0.427451,0.321569)
rgb=(0.717647,0.462745,0.486275)
rgb=(0.709804,0.450980,0.647059)
rgb=(0.745098,0.462745,0.458824)
rgb=(0.768627,0.450980,0.525490)
rgb=(0.752941,0.450980,0.572549)
rgb=(0.729412,0.478431,0.462745)
rgb=(0.611765,0.490196,0.694118)
rgb=(0.890196,0.443137,0.384314)
rgb=(0.756863,0.478431,0.435294)
rgb=(0.690196,0.498039,0.462745)
rgb=(0.643137,0.494118,0.650980)
rgb=(0.709804,0.486275,0.568627)
rgb=(0.874510,0.458824,0.388235)
rgb=(0.890196,0.450980,0.439216)
rgb=(0.705882,0.501961,0.509804)
rgb=(0.870588,0.462745,0.431373)
rgb=(0.894118,0.466667,0.341176)
rgb=(0.862745,0.462745,0.478431)
rgb=(0.890196,0.466667,0.360784)
rgb=(0.886275,0.458824,0.482353)
rgb=(0.835294,0.474510,0.498039)
rgb=(0.870588,0.482353,0.364706)
rgb=(0.862745,0.478431,0.439216)
rgb=(0.870588,0.486275,0.341176)
rgb=(0.831373,0.486275,0.470588)
rgb=(0.811765,0.490196,0.498039)
rgb=(0.670588,0.525490,0.580392)
rgb=(0.839216,0.494118,0.439216)
rgb=(0.870588,0.490196,0.403922)
rgb=(0.776471,0.513725,0.541176)
rgb=(0.827451,0.521569,0.376471)
rgb=(0.819608,0.517647,0.458824)
rgb=(0.815686,0.517647,0.482353)
rgb=(0.925490,0.494118,0.392157)
rgb=(0.796078,0.521569,0.505882)
rgb=(0.905882,0.494118,0.470588)
rgb=(0.764706,0.533333,0.501961)
rgb=(0.690196,0.552941,0.545098)
rgb=(0.917647,0.498039,0.423529)
rgb=(0.796078,0.529412,0.482353)
rgb=(0.815686,0.529412,0.435294)
rgb=(0.901961,0.498039,0.509804)
rgb=(0.909804,0.513725,0.337255)
rgb=(0.807843,0.533333,0.462745)
rgb=(0.894118,0.509804,0.470588)
rgb=(0.764706,0.549020,0.482353)
rgb=(0.909804,0.513725,0.427451)
rgb=(0.643137,0.568627,0.709804)
rgb=(0.717647,0.568627,0.521569)
rgb=(0.776471,0.556863,0.466667)
rgb=(0.898039,0.541176,0.450980)
rgb=(0.905882,0.541176,0.431373)
rgb=(0.890196,0.541176,0.482353)
rgb=(0.878431,0.541176,0.549020)
rgb=(0.890196,0.541176,0.521569)
rgb=(0.917647,0.545098,0.411765)
rgb=(0.925490,0.545098,0.392157)
rgb=(0.854902,0.545098,0.631373)
rgb=(0.839216,0.560784,0.592157)
rgb=(0.839216,0.576471,0.521569)
rgb=(0.843137,0.580392,0.501961)
rgb=(0.796078,0.584314,0.650980)
rgb=(0.858824,0.584314,0.482353)
rgb=(0.886275,0.576471,0.513725)
rgb=(0.874510,0.576471,0.549020)
rgb=(0.831373,0.588235,0.564706)
rgb=(0.937255,0.580392,0.474510)
rgb=(0.827451,0.603922,0.615686)
rgb=(0.917647,0.600000,0.392157)
rgb=(0.913725,0.592157,0.494118)
rgb=(0.741176,0.627451,0.666667)
rgb=(0.929412,0.596078,0.458824)
rgb=(0.929412,0.607843,0.427451)
rgb=(0.925490,0.619608,0.368627)
rgb=(0.780392,0.639216,0.631373)
rgb=(0.925490,0.623529,0.470588)
rgb=(0.909804,0.635294,0.521569)
rgb=(0.894118,0.639216,0.556863)
rgb=(0.890196,0.650980,0.462745)
rgb=(0.882353,0.643137,0.600000)
rgb=(0.866667,0.662745,0.529412)
rgb=(0.862745,0.666667,0.560784)
rgb=(0.854902,0.666667,0.584314)
rgb=(0.843137,0.666667,0.619608)
rgb=(0.815686,0.682353,0.623529)
rgb=(0.870588,0.686275,0.686275)
rgb=(0.760784,0.717647,0.807843)
rgb=(0.941176,0.682353,0.643137)
rgb=(0.843137,0.709804,0.694118)
rgb=(0.929412,0.705882,0.666667)
rgb=(0.929412,0.717647,0.564706)
rgb=(0.972549,0.717647,0.447059)
rgb=(0.945098,0.721569,0.505882)
rgb=(0.917647,0.717647,0.639216)
rgb=(0.898039,0.721569,0.670588)
rgb=(0.925490,0.721569,0.619608)
rgb=(0.878431,0.737255,0.639216)
rgb=(0.984314,0.733333,0.392157)
rgb=(0.874510,0.745098,0.682353)
rgb=(0.964706,0.756863,0.470588)
rgb=(0.945098,0.760784,0.533333)
rgb=(0.874510,0.764706,0.737255)
rgb=(0.945098,0.780392,0.588235)
rgb=(0.921569,0.784314,0.658824)
rgb=(0.949020,0.772549,0.709804)
rgb=(0.941176,0.796078,0.631373)
rgb=(0.921569,0.796078,0.733333)
rgb=(0.937255,0.800000,0.698039)
rgb=(0.898039,0.815686,0.733333)
rgb=(0.980392,0.815686,0.584314)
rgb=(0.909804,0.823529,0.788235)
rgb=(0.972549,0.827451,0.623529)
rgb=(0.976471,0.847059,0.674510)
rgb=(0.949020,0.854902,0.768627)
}}
